

import os

lowercase			:				str   =     {"I": 1, "V": 5, "X": 10, "L": 50, "C": 1_00, "D": 5_00, "M": 10_00}






def        snake_case__		(    lowerCamelCase_		):
							A      :					int      		=					0

							A      :					Optional[int]      		=					0
							while index < len(lowerCamelCase_		) - 1:
														A      :					Optional[Any]      		=					SYMBOLS[numerals[index]]
														A      :					Tuple      		=					SYMBOLS[numerals[index + 1]]
														if current_value < next_value:
																					total_value -= current_value
														else:
																					total_value += current_value
														index += 1
							total_value += SYMBOLS[numerals[index]]

							return total_value






def        snake_case__		(    lowerCamelCase_		):
							A      :					str      		=					''''''

							A      :					Union[str, Any]      		=					num // 1000
							numerals += m_count * "M"
							num %= 1000

							A      :					Optional[int]      		=					num // 100
							if c_count == 9:
														numerals += "CM"
														c_count -= 9
							elif c_count == 4:
														numerals += "CD"
														c_count -= 4
							if c_count >= 5:
														numerals += "D"
														c_count -= 5
							numerals += c_count * "C"
							num %= 100

							A      :					str      		=					num // 10
							if x_count == 9:
														numerals += "XC"
														x_count -= 9
							elif x_count == 4:
														numerals += "XL"
														x_count -= 4
							if x_count >= 5:
														numerals += "L"
														x_count -= 5
							numerals += x_count * "X"
							num %= 10

							if num == 9:
														numerals += "IX"
														num -= 9
							elif num == 4:
														numerals += "IV"
														num -= 4
							if num >= 5:
														numerals += "V"
														num -= 5
							numerals += num * "I"

							return numerals






def        snake_case__		(    lowerCamelCase_ = "/p089_roman.txt"		):
							A      :					Optional[Any]      		=					0

							with open(os.path.dirname(lowerCamelCase_		) + roman_numerals_filename		) as filea:
														A      :					Any      		=					filea.readlines()

							for line in lines:
														A      :					List[str]      		=					line.strip()
														A      :					Optional[int]      		=					parse_roman_numerals(lowerCamelCase_		)
														A      :					Optional[Any]      		=					generate_roman_numerals(lowerCamelCase_		)
														savings += len(lowerCamelCase_		) - len(lowerCamelCase_		)

							return savings


if __name__ == "__main__":
		print(F"{solution() = }")









lowercase			:				Dict   =     [sum(int(c, 10) ** 2 for c in i.__str__()) for i in range(10_00_00)]






def        snake_case__		(    lowerCamelCase_		):
							A      :					List[str]      		=					0
							while number:
														# Increased Speed Slightly by checking every 5 digits together.
														sum_of_digits_squared += DIGITS_SQUARED[number % 100000]
														number //= 100000

							return sum_of_digits_squared


# There are 2 Chains made,
# One ends with 89 with the chain member 58 being the one which when declared first,
# there will be the least number of iterations for all the members to be checked.

# The other one ends with 1 and has only one element 1.

# So 58 and 1 are chosen to be declared at the starting.

# Changed dictionary to an array to quicken the solution
lowercase			:				list[bool | None]   =     [None] * 10_00_00_00
lowercase			:				int   =     True
lowercase			:				Tuple   =     False






def        snake_case__		(    lowerCamelCase_		):

							if CHAINS[number - 1] is not None:
														return CHAINS[number - 1]  # type: ignore

							A      :					int      		=					chain(next_number(lowerCamelCase_		)		)
							A      :					Dict      		=					number_chain

							while number < 10000000:
														A      :					Any      		=					number_chain
														number *= 10

							return number_chain






def        snake_case__		(    lowerCamelCase_ = 10000000		):
							for i in range(1     ,				lowerCamelCase_		):
														if CHAINS[i] is None:
																					chain(i + 1		)

							return CHAINS[:number].count(lowerCamelCase_		)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(F"{solution() = }")






